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Simplifying -36 + 3x = 6x + 8(2 + -2x) -36 + 3x = 6x + (2 * 8 + -2x * 8) -36 + 3x = 6x + (16 + -16x) Reorder the terms: -36 + 3x = 16 + 6x + -16x Combine like terms: 6x + -16x = -10x -36 + 3x = 16 + -10x Solving -36 + 3x = 16 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -36 + 3x + 10x = 16 + -10x + 10x Combine like terms: 3x + 10x = 13x -36 + 13x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 -36 + 13x = 16 + 0 -36 + 13x = 16 Add '36' to each side of the equation. -36 + 36 + 13x = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 16 + 36 13x = 16 + 36 Combine like terms: 16 + 36 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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